← Data handling: mean, median, mode lesson New set →

Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 856 · 40 questions
TalentJR

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

NameDateTime takenScore ___ / 40
  1. 1.The mean of 4 numbers is 39. When the number 34 is added to them, what is the new mean? (a) 39 (b) 37 (c) 40 (d) 38
  2. 2.What is the mean of 18, 6, 4, 10 and 17? (a) 10 (b) 11 (c) 13 (d) 12
  3. 3.What is the median of 40, 26, 35, 10 and 17? (a) 17 (b) 35 (c) 27 (d) 26
  4. 4.What is the median of 5, 6, 32, 17 and 25? (a) 25 (b) 32 (c) 17 (d) 6
  5. 5.What is the median of 5, 29, 12, 13 and 3? (a) 11 (b) 13 (c) 12 (d) 5
  6. 6.What is the mean of 4, 4, 8, 10, 10 and 24? (a) 11 (b) 9 (c) 12 (d) 10
  7. 7.What is the mean of 16, 4, 14, 4 and 2? (a) 7 (b) 10 (c) 8 (d) 9
  8. 8.The mean of 7 numbers is 31. When the number 47 is added to them, what is the new mean? (a) 34 (b) 33 (c) 31 (d) 39
  9. 9.What is the median of 28, 3, 24, 11, 31, 30 and 2? (a) 24 (b) 11 (c) 25 (d) 28
  10. 10.What is the mode of 18, 15, 19, 18, 3, 18 and 3? (a) 3 (b) 15 (c) 18 (d) 19
  11. 11.What is the mean of 16, 10, 7, 18, 15 and 18? (a) 14 (b) 12 (c) 13 (d) 15
  12. 12.What is the median of 6, 11, 7, 16, 12, 37 and 32? (a) 16 (b) 11 (c) 13 (d) 12
  13. 13.The mean of 7 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 31 (b) 33 (c) 29 (d) 30
  14. 14.What is the mean of 18, 16, 10, 5, 14 and 15? (a) 13 (b) 15 (c) 14 (d) 12
  15. 15.What is the median of 6, 4, 26, 37, 30, 29 and 9? (a) 9 (b) 26 (c) 37 (d) 29
  16. 16.What is the mode of 14, 18, 17, 17, 17, 7 and 18? (a) 14 (b) 17 (c) 18 (d) 7
  17. 17.The mean of 3 numbers is 11. When the number 7 is added to them, what is the new mean? (a) 12 (b) 10 (c) 9 (d) 11
  18. 18.What is the mode of 3, 3, 2, 3, 6, 9 and 2? (a) 9 (b) 6 (c) 3 (d) 2
  19. 19.What is the mean of 5, 19, 20, 5 and 21? (a) 16 (b) 13 (c) 15 (d) 14
  20. 20.What is the median of 8, 39, 17, 5, 12, 7 and 14? (a) 5 (b) 12 (c) 14 (d) 8
  21. 21.The mean of 4 numbers is 16. When the number 31 is added to them, what is the new mean? (a) 18 (b) 19 (c) 20 (d) 16
  22. 22.What is the median of 4, 6, 27, 11, 39, 32 and 28? (a) 21 (b) 11 (c) 27 (d) 28
  23. 23.What is the mode of 19, 13, 19, 13, 10, 16 and 19? (a) 10 (b) 16 (c) 13 (d) 19
  24. 24.What is the mode of 19, 3, 6, 16, 16, 19 and 19? (a) 6 (b) 3 (c) 19 (d) 16
  25. 25.What is the median of 11, 26, 9, 10, 31, 35 and 40? (a) 26 (b) 11 (c) 31 (d) 10
  26. 26.What is the median of 35, 27, 12, 2 and 20? (a) 20 (b) 21 (c) 12 (d) 27
  27. 27.What is the mean of 3, 6, 15, 15, 19 and 14? (a) 11 (b) 12 (c) 13 (d) 14
  28. 28.What is the median of 15, 19, 6, 7, 31, 26 and 8? (a) 15 (b) 16 (c) 7 (d) 19
  29. 29.What is the mode of 3, 3, 10, 2, 2, 2 and 18? (a) 2 (b) 18 (c) 10 (d) 3
  30. 30.What is the mean of 16, 18, 14, 3 and 9? (a) 12 (b) 10 (c) 13 (d) 15
  31. 31.What is the mean of 20, 3, 4 and 5? (a) 8 (b) 10 (c) 9 (d) 7
  32. 32.What is the mean of 8, 15, 19, 12, 2 and 4? (a) 11 (b) 9 (c) 12 (d) 10
  33. 33.What is the mode of 10, 2, 17, 2, 2, 10 and 15? (a) 15 (b) 10 (c) 2 (d) 17
  34. 34.The mean of 7 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 20 (b) 21 (c) 19 (d) 13
  35. 35.The mean of 5 numbers is 19. When the number 25 is added to them, what is the new mean? (a) 22 (b) 20 (c) 21 (d) 19
  36. 36.The mean of 3 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 25 (b) 28 (c) 31 (d) 29
  37. 37.What is the mean of 16, 14, 16, 2, 12 and 12? (a) 14 (b) 11 (c) 12 (d) 13
  38. 38.What is the mode of 14, 3, 3, 1, 14, 3 and 13? (a) 3 (b) 1 (c) 14 (d) 13
  39. 39.The mean of 9 numbers is 33. When the number 23 is added to them, what is the new mean? (a) 28 (b) 31 (c) 32 (d) 33
  40. 40.What is the mode of 14, 1, 14, 1, 6, 18 and 1? (a) 14 (b) 18 (c) 6 (d) 1

Answer key

  1. 38
  2. 11
  3. 26
  4. 17
  5. 12
  6. 10
  7. 8
  8. 33
  9. 24
  10. 18
  11. 14
  12. 12
  13. 30
  14. 13
  15. 26
  16. 17
  17. 10
  18. 3
  19. 14
  20. 12
  21. 19
  22. 27
  23. 19
  24. 19
  25. 26
  26. 20
  27. 12
  28. 15
  29. 2
  30. 12
  31. 8
  32. 10
  33. 2
  34. 19
  35. 20
  36. 28
  37. 12
  38. 3
  39. 32
  40. 1

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad